Answer:
Option D. No solution
Step-by-step explanation:
<u>We have the equation of a line:
</u>
![y = - x - 10](https://tex.z-dn.net/?f=y%20%3D%20-%20x%20-%2010)
We find their cut points.
<em>Cut point with the y axis. (x = 0)
</em>
![y = -(0) -10\\y = -10](https://tex.z-dn.net/?f=y%20%3D%20-%280%29%20-10%5C%5Cy%20%3D%20-10)
<em>Cut point with the x axis. (y = 0)
</em>
.
The line cuts to the x-axis at
and cuts the y-axis at
<u>We have a parabola
</u>
![y = x ^ 2 - 2x - 3](https://tex.z-dn.net/?f=y%20%3D%20x%20%5E%202%20-%202x%20-%203)
We can factor this quadratic equation by looking for 2 numbers that when multiplied give as result -3 and that when adding these numbers as a result -2. These numbers are -3 and 1.
Then the factors are:
![(x-3)(x + 1) = 0](https://tex.z-dn.net/?f=%28x-3%29%28x%20%2B%201%29%20%3D%200)
The zeros are 3 and -1. So <em>the parabola cuts to the x axis at points </em><em>3</em><em> and</em><em> -1</em><em>.
</em>
<em>Now we find the cut points with the y axis. (x = 0)
</em>
![y = (0-3)(0 + 1)\\y = -3.](https://tex.z-dn.net/?f=y%20%3D%20%280-3%29%280%20%2B%201%29%5C%5Cy%20%3D%20-3.)
<em>The parabola cuts to the axis y in y = -3.
</em>
Now we can graph the line and the parabola. Observe the attached image.
<em>The system has no solution because the line and the parabola never intersect or touch each other. The answer is the option D</em>
17. B $3.00
18.D 35/36
19.D 89.775
Answer:
-37
Step-by-step explanation:
-7-30
=-37
You are adding the negatives therefore, you will get a larger number of negatives.
Answer: I think it’s 18?
Step-by-step explanation: